Statistical cluster point and statistical limit point sets of subsequences of a given sequence

Authors : Harry I. MİLLER, Leila Miller-van WİEREN

Pages : 494-497

Doi:10.15672/hujms.712019

View : 18 | Download : 4

Publication Date : 2020-04-02

Article Type : Research Paper

Abstract :J.A. Fridy [Statistical limit points, Proc. Amer. Math. Soc., 1993] considered statistical cluster points and statistical limit points of a given sequence x. Here we show that almost all subsequences of x have the same statistical cluster point set as x. Also, we show an analogous result for the statistical limit points of x.
Keywords : sequences, subsequences, statistical cluster points, statistical limit points